Candona strikes a 0.055-kg golf ball with a force of 260 N. If the ball moves with a velocity of 65 m/s,
calculate the time the ball is in contact with the club.
0.014s
Use the same formula that I provided in my other answer.
To calculate the time the ball is in contact with the club, we need to use the equation for impulse, which relates force, time, and change in momentum. The equation is:
Impulse = Force × Time = Change in Momentum
The impulse experienced by the golf ball is equal to the change in its momentum. The change in momentum is calculated by subtracting the initial momentum from the final momentum.
Let's calculate the momentum of the golf ball using the given velocity:
Momentum (p) = Mass × Velocity
p = 0.055 kg × 65 m/s
Next, let's calculate the magnitude of the change in momentum:
Change in Momentum = Final Momentum - Initial Momentum
The magnitude of the initial momentum is zero since the ball was at rest before being struck. Therefore, the change in momentum is equal to the final momentum.
Change in Momentum = 0.055 kg × 65 m/s
Now, we can calculate the impulse by multiplying the force applied by the time of contact:
Impulse = Force × Time
260 N × Time = 0.055 kg × 65 m/s
Simplifying the equation:
Time = (0.055 kg × 65 m/s) / 260 N
Time = 0.01375 s
Therefore, the ball is in contact with the club for approximately 0.01375 seconds.